The wavelet transform on spaces of type S

被引：12

作者：

Pathak, R. S. ^{[1
]}

Singh, S. K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2006年 / 136卷

关键词：

D O I：

10.1017/S0308210500004753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The continuous wavelet transform is studied on certain Gel'fand-Shilov spaces of type S. It is shown that, for wavelets belonging to the one type of S-space defined on R, the wavelet transform is a continuous linear map of the other type of the S-space into a space of the same type (latter type) defined on R x R+. The wavelet transforms of certain ultradifferentiable functions are also investigated.

引用

页码：837 / 850

页数：14